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Finding the Fourth Proportional to 23,275, 32,116.26 and 14,323.96

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Solution

The fourth proportional to 23,275, 32,116.26 and 14,323.96 is: 19,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275 : 32,116.26 = 14,323.96 : x
  2. Step 2: Convert to fraction form
    23,275/32,116.26 = 14,323.96/x
  3. Step 3: Cross multiply
    23,275x = 32,116.26 × 14,323.96
  4. Step 4: Simplify right side
    23,275x = 460,032,023.59
  5. Step 5: Solve for x
    x = 460,032,023.59/23,275
  6. Step 6: Final answer
    x = 19,765.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.